Blow-analytic retraction onto the central fibre

Details Blow-analytic retraction onto the central fibre Blow-analytic retraction onto the central fibre

1997-01-26

arxiv.org/abs/math/9701221v1

Mathematics

Complex Variables

Scientific paper

Let X be a complex analytic space and let f:X -> C be a proper complex analytic function with nonsingular generic fibres. By adapting the blowanalytic methods of Kuo we construct a retraction of a neighbourhood of the central fibre f^{-1}(0) onto f^{-1}(0). Our retraction is defined by the flow of a real analytic vector field on an oriented real analytic blow-up of X. Then we describe in terms of this blow-up the associated specialization map and local Milnor fibrations. The method also works in real analytic category.

Affiliated with

Also associated with

No associations

Rating

Blow-analytic retraction onto the central fibre does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Blow-analytic retraction onto the central fibre, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blow-analytic retraction onto the central fibre will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-707189